Miscellaneous Discoveries in Other Cellular Automata

[83bismuth38]

i have taken reply 100. also, to make this legitimate:

Code: Select all

x = 4, y = 3, rule = B2/S34V
obo$3bo$obo!

Code: Select all

x = 5, y = 5, rule = B2/S34H
2bo$4o$bob2o$2b2o$2b3o!

[wildmyron]

A p14 oscillator resulting from a dot catalysing a sparky reaction:

Code: Select all

x = 2, y = 6, rule = B2ck3aq4aek/S02c3j4r
o2$o3$bo!

[toroidalet]

9c/48 diagonal puffer, anyone?

Code: Select all

x = 19, y = 19, rule = B36n7e/S23
5bo$4bobo$4bobo$5bo$b2o$o2bo$b2o5b3o$7bo2bo$6bo3bo$6bo2bo$6b3o4$16b3o$
15bo2bo$14bo3bo$14bo2bo$14b3o!

[toroidalet]

bump
c/4 ship in B35y/S23, smaller than the one in life:

Code: Select all

x = 9, y = 6, rule = B35y/S23
3o3b3o$3bobo2$4bo$b3ob3o$b2o3b2o!

(well, it's definitely more compact.)
Works in B34e5y7e/S23. Let's see if it becomes natural.

[drc]

Switcher:

Code: Select all

x = 114, y = 23, rule = B3/S2-i34n
21b2o49b2o$22bo49bo$22bobo45bobo$23b2o45b2o4$46bo$45bobo$45bo2bo$obo
39b2o2b2o24bo40bo$o2bo37b3o28b3o37b2o$obo39b2o2b2o24bo40bo$45bo2bo$45b
obo$46bo4$23b2o45b2o$22bobo45bobo$22bo49bo$21b2o49b2o!

[praosylen]

Variation on @AbhpzTa's infinite orthogonal speeds rule:

Code: Select all

x = 10, y = 31, rule = B2ci3aer4ai5-c6c/S2-kn3-cenq4-k5eiy6c
bo3bo$ob4o$bo3bo5$bo4bo$ob5o$bo4bo5$bo5bo$ob6o$bo5bo5$bo6bo$ob7o$bo6bo
5$bo7bo$ob8o$bo7bo!

Edit: A close call for an odd-speed rule:

Code: Select all

x = 23, y = 4, rule = B2c3ajr4i5-ay6c7/S123eknqr4etz56ac7
o$o2b19o$b3o18bo$3b19o!

Edit 2: Another interesting close call:

Code: Select all

x = 41, y = 3, rule = B2ci3acjry4eik5-ajny6c7e8/S123cenr4etz5-ij6ck78
o2b37o$4o36bo$o2b37o!

[praosylen]

All speeds of the form c/(2n+1), n > 3:

Code: Select all

x = 9, y = 31, rule = B2c3aj4nrt5i6c78/S1c23enr4aet5-iq67
o3bo$4o$o3bo5$o4bo$5o$o4bo5$o5bo$6o$o5bo5$o6bo$7o$o6bo5$o7bo$8o$o7bo!

Now every c/n orthogonal speed is known to exist at the minimal period in a 2-state isotropic rule in the range-1 Moore neighborhood.

[Saka]

All speeds of the form c/(2n+1):

Code: Select all

x = 9, y = 31, rule = B2c3aj4nrt5i6c78/S1c23enr4aet5-iq67
o3bo$4o$o3bo5$o4bo$5o$o4bo5$o5bo$6o$o5bo5$o6bo$7o$o6bo5$o7bo$8o$o7bo!

Now every c/n orthogonal speed is known to exist at the minimal period in a 2-state isotropic rule in the range-1 Moore neighborhood.

Hah. Muziks collection is dead.

[wwei23]

All speeds of the form c/(2n+1):

Code: Select all

x = 9, y = 31, rule = B2c3aj4nrt5i6c78/S1c23enr4aet5-iq67
o3bo$4o$o3bo5$o4bo$5o$o4bo5$o5bo$6o$o5bo5$o6bo$7o$o6bo5$o7bo$8o$o7bo!

Now every c/n orthogonal speed is known to exist at the minimal period in a 2-state isotropic rule in the range-1 Moore neighborhood.

Hah. Muziks collection is dead.

Wait until Muzik finds out.

[muzik]

All speeds of the form c/(2n+1), n > 3:

Code: Select all

x = 9, y = 31, rule = B2c3aj4nrt5i6c78/S1c23enr4aet5-iq67
o3bo$4o$o3bo5$o4bo$5o$o4bo5$o5bo$6o$o5bo5$o6bo$7o$o6bo5$o7bo$8o$o7bo!

Now every c/n orthogonal speed is known to exist at the minimal period in a 2-state isotropic rule in the range-1 Moore neighborhood.

Well isn't that sexy.


Not only does this decrease the massive mashup ruletable to just 3 rules, it also brings up the question: could a single non-mashup rule which has both the odd and even adjustable speed syringenterprises exist? Optional preferred extras would be having spaceships of speeds c/2, c/3 and c/5, and the ability to search said rule on Catagolue.

[wwei23]

If B34w/S23 explodes, then why doesn't B34w5a/S23 explode?

[toroidalet]

If B34w/S23 explodes, then why doesn't B34w5a/S23 explode?

Easy: B34w/S23 contains a dirty replicator:

Code: Select all

x = 9, y = 9, rule = B34w/S23
b3o$o3bo3$7bo$8bo$8bo$8bo$7bo!

In B34w5a/S23 it doesn't replicate.

Code: Select all

x = 9, y = 9, rule = B34w5a/S23
b3o$o3bo3$7bo$8bo$8bo$8bo$7bo!

Same reason why B34w/S236c doesn't explode even though S6c usually makes near-B3/S23 rules explode.

Code: Select all

x = 9, y = 9, rule = B34w/S236c
b3o$o3bo3$7bo$8bo$8bo$8bo$7bo!

Speaking of B34w/S236c, here's a p26:

Code: Select all

x = 18, y = 18, rule = B34w/S236c
6bobo$5b2o2bo$6bobo3$bo$3o2$obo13bo$bo13bobo2$15b3o$16bo3$9bobo$8bo2b
2o$9bobo!

Another p26:

Code: Select all

x = 12, y = 13, rule = B34w/S236c
3b2o$4bo$bo7bobo$o3bo3bob2o$bobo5bobo$2bo2$2bo$bobo5bobo$o3bo3bob2o$bo
7bobo$4bo$3b2o!

p72 blinker-pair factory:

Code: Select all

x = 8, y = 8, rule = B34w/S236c
3o$bo4$7bo$6b2o$7bo!

10c/214 (5c/107) wave:

Code: Select all

x = 120, y = 120, rule = B34w/S236c
bo$2o$bo12$13b3o$14bo11$27bo$26b2o$27bo12$39b3o$40bo11$53bo$52b2o$53bo
12$65b3o$66bo11$79bo$78b2o$79bo12$91b3o$92bo11$105bo$104b2o$105bo12$
117b3o$118bo!

p26 in a different rule:

Code: Select all

x = 20, y = 20, rule = B36n/S236c
15bo$7bobo5bo$6b2o2bo$7bobo$18b2o2$2bo$b3o2$bobo13bo$2bo13bobo2$16b3o$
17bo2$2o$10bobo$9bo2b2o$4bo5bobo$4bo!

[muzik]

I would argue that the rule posted actually simulates all speeds c/(2n+1), n > 2, since there exists a c/5 spaceship that looks pretty systematic in a phase different than what was posted above.

Code: Select all

x = 17, y = 7, rule = B2c3aj4nrt5i6c78_S1c23enr4aet5-iq67
15bo$8bo5bobo$bo5bobo4bobo$obo4bobo5bo$obo5bo6bo$bo6bo6bo$3o4b3o4b3o!

Here are natural c/5, c/7, c/9 and c/13 ships:

Code: Select all

x = 16, y = 16, rule = B2c3aj4nrt5i6c78/S1-e23enr4aet5-iq67
obboooboobobbobo$
bobboobbbobbbboo$
boobbboobobobbob$
obobbbboobbbbobb$
boobooboboooobbb$
bbbboboooobboooo$
bobobobboboboobo$
boboobbobboooooo$
bbbbbobboooooobo$
obbboooobboooooo$
obobbbbooobobboo$
bboooooooobooooo$
bbbbooooooobbbbb$
bbbobbobbobooobo$
bbobbbboobbbbboo$
bbbbboobbobobooo!

Code: Select all

x = 16, y = 16, rule = B2c3aj4nrt5i6c78/S1-e23enr4aet5-iq67
obobbbbobboobboo$
obbooobboooooooo$
bbobboobooobbobb$
obbbbbbbobboooob$
booobooboboobobb$
bbooobbbboboboob$
obbbobobbboboboo$
booooboooboobooo$
obbbobbbbbbooboo$
bboboooooobooobb$
oobobobobbbbbboo$
obbobobboobbbboo$
oooobboobbboobob$
bobboooboboobbbo$
bbboooobbbboooob$
obbbbbbooobobobb!

Code: Select all

x = 16, y = 16, rule = B2c3aj4nrt5i6c78/S1-e23enr4aet5-iq67
obbbbooboooobooo$
bbboooobbboooobo$
oobooboooooboooo$
booboobbboobooob$
ooobobobobbbobob$
oboooooooboboboo$
ooooooboobbobbbo$
bobboobbobbobbob$
obboboooobbobooo$
boboobbooboobboo$
obbbooobobobbooo$
obooboobbboboboo$
bbbooobooobobobo$
oboobobobboooobb$
boboooobbbbooooo$
boboobboooobbobo!

Code: Select all

x = 16, y = 16, rule = B2c3aj4nrt5i6c78/S1-e23enr4aet5-iq67
ooooooooooobbooo$
oboboboobobobooo$
boobobobobbboobo$
bbbboobobboboooo$
obbobobboobooobo$
oooobboobobbbboo$
obbboooobbobobbo$
oooboobobbbobooo$
oobooboobbbboboo$
boobbobbooboboob$
bboboobbbbooobob$
bbbobobooboobooo$
boooobooooboboob$
obbbobbbbobbobbb$
bobbboobbobbobbo$
bobooboobobbobbb!

And a yl8:

Code: Select all

x = 16, y = 16, rule = B2c3aj4nrt5i6c78/S1-e23enr4aet5-iq67
bboboobooboobbbb$
bbbbbobbbboooboo$
boboobbooooobbbb$
ooooooboboobbboo$
bbobbbooooobobob$
obbboboooooboooo$
bbooobbboobbbboo$
bbobbboobboooooo$
obbooobbobbbbbbo$
bboboboobobboobo$
bbbobbbbobbboboo$
bbobboooooboobbb$
obobbbboobobobbo$
boooobbbbboooboo$
bbbbbobbobbbbobo$
oobbbbobobobboob!

one of those sqrt growers things:

Code: Select all

x = 16, y = 31, rule = B2c3aj4nrt5i6c78/S1-e23enr4aet5-iq67
bbbobboobooboobb$
ooooobbbooboobbo$
obooobooooobbbbo$
ooobbbboobooboob$
bbobbbobbobobbbo$
bbbbobbboobbbbbo$
oooobbbbooobobob$
bbbbbbbboboooobb$
booobooobbbobobb$
boooooobbbobbbob$
obooooobobobobob$
bobooobbbobobbob$
bbooboooooobbboo$
bboboboobboooboo$
obbooboobboboobb$
bobbbooboobbooob$
obbooboobboboobb$
bboboboobboooboo$
bbooboooooobbboo$
bobooobbbobobbob$
obooooobobobobob$
boooooobbbobbbob$
booobooobbbobobb$
bbbbbbbboboooobb$
oooobbbbooobobob$
bbbbobbboobbbbbo$
bbobbbobbobobbbo$
ooobbbboobooboob$
obooobooooobbbbo$
ooooobbbooboobbo$
bbbobboobooboobb!

[wwei23]

one of those sqrt growers things:

Code: Select all

big soup

I thought that apgsearch made small soup not big soup.
Run this:

Code: Select all

x = 8, y = 8, rule = B34w/S23
3b3o$2bo3bo$bo5bo$o6bo$o6bo$o5bo$bo3bo$2b3o!

[wwei23]

Symbiosis P39:

Code: Select all

x = 12, y = 5, rule = Symbiosis
4.AB$2.B.B3.2A$B3A.A.AB.AB$3.A.A.3AB$5.A.A!

Symbiosis P54 predecessor based on the P39:

Code: Select all

x = 12, y = 12, rule = Symbiosis
4.AB$2.B.B3.2A$B3A.A.AB.AB$3.A.A.3AB$5.A.A6$7.A$7.B!

[toroidalet]

I thought that apgsearch made small soup not big soup.
Run this:

Code: Select all

pattern

Observations do not necessitate a post like that. Apgsearch has several symmetries. Some feature the soup (containing 256 on/off cells) reflected or rotated superimposed on itself. That is where these bigger soups come from.
The 3c/6 ship in B34w/S23 is well-known.
Also, please post your symbiosis patterns in the symbiosis thread.
I would also argue that a new thread be made for B2c3aj4nrt5i6c78/S1-e23enr4aet5-iq67 so it doesn't clog up this thread like its predecessor.
The oscillators can be made smaller:

Code: Select all

x = 11, y = 5, rule = Symbiosis
7.B$2.B.B3.A$B3A.A.AB$3.A.A.3AB$5.A.A!

Code: Select all

x = 11, y = 12, rule = Symbiosis
7.B$2.B.B3.A$B3A.A.AB$3.A.A.3AB$5.A.A6$7.A$7.B!

[AforAmpere]

First knightship in a B2a rule? (2,1)c/7

Code: Select all

x = 2, y = 5, rule = B2ain3aceny4-aeirz5jknry6aek8/S02n3c4kry5inr6i
o2$bo2$bo!

[wwei23]

I wonder what this will do:

Code: Select all

x = 1, y = 1, rule = 23/03/3
A!

[AforAmpere]

4c/7! Finally, I think this is the second velocity between c and c/2 that is not a 2c/3. Can someone confirm this?

Code: Select all

x = 4, y = 1, rule = B2-ek3ack4acrtw5eijk6-in7/S03ei4aj5eijq6k
2obo!

[wwei23]

Potential p652 in a rule that borders on explosive, but doesn't explode

Code: Select all

x = 3, y = 4, rule = B3_S235e
2o$b2o$2o$o!

What's with all the small lakes? Also, why do the honey farms have tubs in the middle?

[Gamedziner]

What's with all the small lakes? Also, why do the honey farms have tubs in the middle?

For the honey farms, the interaction that destroys the tub cannot occur here due to s5e. Interestingly, this interaction only occurs once (between T = 11 and T = 12 in the code below) for both tub destruction and usage of s5e.

Code: Select all

x = 5, y = 5, rule = B3_S235e
2bo$b3o$o3bo$b3o$2bo!

[praosylen]

First knightship in a B2a rule? (2,1)c/7

Code: Select all

x = 2, y = 5, rule = B2ain3aceny4-aeirz5jknry6aek8/S02n3c4kry5inr6i
o2$bo2$bo!

This is really interesting! I don't know of any others, but I feel like a p5 knightship might be possible in Live Free or Die (based on preliminary JLS searches, although I may not be remembering correctly).

4c/7! Finally, I think this is the second velocity between c and c/2 that is not a 2c/3. Can someone confirm this?

Code: Select all

x = 4, y = 1, rule = B2-ek3ack4acrtw5eijk6-in7/S03ei4aj5eijq6k
2obo!

I know of two others, both in B0 rules (5c/8 orthogonal and 3c/4 diagonal, although I don't remember where I saw the former). I feel like I've seen a 3c/4 or a 3c/5 somewhere before, too, but I don't remember for sure. Anyway, that's a pretty good discovery, and definitely the smallest possible example of such a velocity. A puffer:

Code: Select all

x = 4, y = 11, rule = B2-ek3ack4acrtw5eijk6-in7/S03ei4aj5eijq6k
3o$2b2o$3o8$2obo!

EDIT: Here's a 3c/4 puffer:

Code: Select all

x = 11, y = 7, rule = B2-ek3ak/S03j4in
3b2ob2o$2b2o3b2o$b2o5b2o$2b2o3b2o$b2obobob2o$4bobo$o9bo!

[Apple Bottom]

I would also argue that a new thread be made for B2c3aj4nrt5i6c78/S1-e23enr4aet5-iq67 so it doesn't clog up this thread like its predecessor.

Good idea; here it is.

[AforAmpere]

This is the only 3c/5 that I know of, found by Wildmyron, but first identified by me (it was found using Wildmyron's script).

Code: Select all

x = 3, y = 3, rule = B2-ek3-ijn4-cjkn5-aqry6en7c8/S02ain3ceiqr4jqw5-ak6an
2bo$o$2bo!

Where did that 3c/4 puffer come from?

[muzik]

I would also argue that a new thread be made for B2c3aj4nrt5i6c78/S1-e23enr4aet5-iq67 so it doesn't clog up this thread like its predecessor.

Good idea; here it is.

...and the other "it".